Jada walks up to a tank of water than can hold up to 10 gallons. When it is active, a drain empties water from the tank at a constant rate. When Jada first sees the tank, it contains 7 gallons of water. Three minutes later, the tank contains 5 gallons of water.



a. At what rate is the amount of water in the tank changing? Use a signed number, and include the unit of measurement in your answer.

b. How many more minutes will it take for the tank to drain completely? Explain or show your reasoning.

c. How many minutes before Jada arrived was the water tank completely full? Explain or show your reasoning.

Answer:

y = 1.5

Step-by-step explanation:

Given y is inversely proportional to [tex]\sqrt{1+x}[/tex] , then the equation relating them is

y = [tex]\frac{k}{\sqrt{1+x} }[/tex] ← k is the constant of variation

To find k use the condition when x = 8, y = 2 , then

2 = [tex]\frac{k}{\sqrt{1+8} }[/tex] = [tex]\frac{k}{\sqrt{9} }[/tex] = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 )

6 = k

y = [tex]\frac{6}{\sqrt{1+x} }[/tex] ← equation of variation

When x = 15, then

y = [tex]\frac{6}{\sqrt{1+15} }[/tex] = [tex]\frac{6}{\sqrt{16} }[/tex] = [tex]\frac{6}{4}[/tex] = 1.5

Answer:

-5/4

Step-by-step explanation:

Use the formula lol

Answer:

84 inches squared

Step-by-step explanation:

perimeter = 6+7+5+10+15

= 43

Step b is wrong. The slope is the change in y over the change in x.

Step b should be (18- 8)/( 10-6)

= 10/4

= 5/2

Answer: the length of BE is 27

Answer:

452.16

Step-by-step explanation:

i got it right on test

The surface area of the cylinder is,

⇒ TSA = 452.16 cm²

We have to given that;

Height of cylinder = 6 cm

And, Diameter of cylinder = 12 cm

Hence, We get;

⇒ Radius of cylinder = 12 / 2 = 6 cm

We know that;

The formula for the total surface area of a given cylinder whose radius is r and height is h is,

TSA = 2πr (h + r)

Hence, We get;

TSA = 2πr (h + r)

TSA = 2 × 3.14 × 6 (6 + 6)

TSA = 37.68 × 12

TSA = 452.16 cm²

Thus, The surface area of the cylinder is,

⇒ TSA = 452.16 cm²

Learn more about the multiplication visit:

https://brainly.com/question/10873737

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Answer:

I think it would be C. 9/13.

Answer:

B

Step-by-step explanation:

11/26 x 7/26 = 77/676

Answer:

2

Step-by-step explanation:

2(2)+3=7

5(2)-3=7

Answer:

2

Step-by-step explanation:

2 multiplied by 2 is 4+3=7 and 5x2=10-3=7

Answer:

$20

Step-by-step explanation:

3 pounds of beef is 6 dollars.

6 divided by 3 is 2. Therefore, each pound cost $2.

He wants to buy 10 pounds of beef.

9 pounds would be $18.

Add 1 pound, which is $2 and you will get $20.

Therefore, he would pay $20!~

Hope this helps!~~ <3

Answer:

26.3

Step-by-step explanation:

the first guy was close, for those of you who struggle with acellus im here to help haha

Answer:

-8 can be added to 2 to give us -6

Step-by-step explanation:

hopefully this helps :)

Answer:

$3.00 per inch

Step-by-step explanation:

also hope this helps

Answer:

-5

Step-by-step explanation:

this is a y = mx + b equation. m is slope.

Answer:

-5

Step-by-step explanation:

When a linear function is in the form y=mx+b then m represents the slope of the line.

Answer:

The first one is TRUE.

You would convert the 1/2 into 4/8 to compare them and you will see that 3/8 is less than 4/8 or 1/2

Answer:

i believe the answer is 25.

Step-by-step explanation:

this is because if a=how much money deposited after  t= depositing weekly and 16 is being multiplied by t. that leads me to believe she deposits $16 weekly. therefore, her original deposit was $25.

tell me if this is incorrect.

Answer:

25

Step-by-step explanation:

In this equation, the original deposit was 25 dollars. The equation shows how much total money was in the account every week. It is written in slope-intercept form, which is y=mx+b, where m is the slope (how much the account is increasing each week) and b is the y-intercept (what was in the account after 0 weeks). This means 25 dollars must be the initial deposit because it is the total before any new weekly deposits.

Answer: £2080.00 :)

hope it helps

Answer:

$308 is the correct answer. Please refer to the attachment. If not able to understand then please let me know, I will resend it wih proper explanation. Hope it helps you. Thanks.

Answer:

c, d.

Step-by-step explanation:

c; A vertical stretch by 4 will put the coefficient (in this case 4) in front of your original equation.

d; the negative in front of the whole equation (-4x) will flip the graph across the x-axis.

Answer:

boop

Step-by-step explanation:

Answer:

15-378099

Step-by-step explanation:

wjjcbm car red saw sell cell problem see one the window

Answer:

x2, 6x, 4x2

Step-by-step explanation:

Answer: x2 , 6x , 4x , 24 .

Step-by-step explanation: i got it wrong but it did tell me the correct answer !

Answer:

$68000

Step-by-step explanation:

Tax free earning = first 4000

Tax on remaining amount = 25%

Total earning in other to have $20000 net of tax earning :

Net of tax = tax free earning + (25% * remaining amount)

Let remaining amount = x

20000 = 4000 + (0.25 * x)

20000 = 4000 + 0.25x

20000 - 4000 = 0.25x

16000 = 0.25x

x = 16000 / 0.25

x = 64000

Hence,

Total earning should be :

Tax free earning + roaming amount

4000 + 64000

= $68000

Answer:

y= -x+3

Step-by-step explanation:

The slope is -1

The y-intercept is 3 if you count up with rise over run

Put it all together and you get y= -x+3

Answer:

168 ft

Step-by-step explanation:

Formula = Length x height x width

14x6x2= 168

Im 100% sure this is right. Pls mark me as brainliest!

:))

Answer:

168

Step-by-step explanation:

V = 14 x 6 x 2 = 168

Answer:

it already is in simplest form

Step-by-step explanation:

4/9 is the simplest form. There is no way to simplify it further.

If this is incorrect, please, don't refrain to tell me. Thank you.

Answer:

45 degrees

Step-by-step explanation:

Before we start, it is important to know that the sum of all angles of a triangle adds up to 180. Since one of the angle measure is already given to us, 90, we can subtract this from 180.

180-90=90

This tells us that the two remaining angles will add together to equal 90. In addition, it also tells us that the two remaining angles are equal. This means we can divide 90 by 2, and it leaves us that x= 45 degrees.

Answer:

Step-by-step explanation:

Part A

Since, BDFHJ is a regular pentagon,

Measure of interior angles of this pentagon = [tex]\frac{(n-2)\times 180}{n}[/tex]

= [tex]\frac{(5-2)\times 180}{5}[/tex]

= 108°

Since, ∠ABC ≅ ∠JBD [Vertical angles]

Therefore, m∠ABC = m∠JBD = 108°

Part B

m∠JBD + mCBD = 180° [Linear pair of angles]

108° + m∠CBD = 180°

m∠CBD = 180 - 108

m∠CBD = 72°

Similarly, m∠BDF + m∠CDB = 180°

m∠CDB + 108° = 180°

m∠CDB = 180 - 108

             = 72°

In ΔCBD,

m∠BCD + m∠CDB + m∠DBC = 180°

m∠BCD + 72° + 72° = 180°

m∠BCD = 180° - 144°

              = 36°

Answer:

2

Step-by-step explanation:

[tex]\begin{cases} -3x -3\:\: for\:\: x<-2\\\\6x -28\: \: for\:\: x\geq 5  \end{cases}[/tex]

f(5) will fall in the interval x≥5 and its corresponding function is:  

    f(x) = 6x - 28

∴ f(5)= 6*5 - 28 = 30 - 28 = 2